Multiple choice

Directions: Following table shows the number of visitors who visited the museum in different weeks from different states (Goa, Haryana, Punjab, Sikkim, UP, Assam) Weeks/States UP Goa Haryana Punjab Assam Sikkim Week1 123 65 105 152 78 56 Week2 89 71 92 100 113 80 Week3 150 90 53 89 89 120 Week4 72 75 82 91 65 98 Week5 69 56 81 142 102 80 Week6 103 81 70 110 90 70 What is the difference in the average number of visitors over the given weeks from Punjab and the average number of visitors over the given weeks from Goa?

  1. 25

  2. 33

  3. 41

  4. 56

  5. 60

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Punjab total: 152+100+89+91+142+110 = 684. Average = 684/6 = 114. Goa total: 65+71+90+75+56+81 = 438. Average = 438/6 = 73. Difference = 114 - 73 = 41.

AI explanation

We first find the total visitors from Punjab by summing the weekly values: 152 + 100 + 89 + 91 + 142 + 110 = 684. We find the total visitors from Goa by adding its values: 65 + 71 + 90 + 75 + 56 + 81 = 438. Using the average formula, the difference in averages over the 6 weeks is (684 / 6) minus (438 / 6), equaling 114 minus 73, which is 41. The result is 41.